I got (c-a)(c-b)(b-a)(b-c)+(a-b)(a-c)(b-a)(b-c)+(a-b)(a-c)(c-a)(c-b) over LCD of all six terms combined.
I then reversed the signs for (c-a)(b-a) in the first term of the numerator and factored both out.
Then I reversed the signs for (b-a)(b-c) in the middle term of the numerator and...
Homework Statement
1/(a-b)(a-c) + 1/(c-a)(c-b) + 1/(b-a)(b-c)
Homework Equations
Is there a way to simplify this? If I start multiplying out everything to get the LCD my final answer will be huge.
The Attempt at a Solution
As I said, without somehow simplifying it at the start...
Hi all,
I'm retaking the GRE soon and I keep making stupid algebra mistakes in my calculus problems so I'm going through a textbook from 1965 that is helpful but has me stumped on some problems. I hope someone can steer me in the right direction.
1/(a-b)(a-c) + 1/(c-a)(c-b) +...